Education Technology

The Slope of the Tangent Line (Part2)

Published on 06/09/2008

Activity Overview

In this activity, students graph the cubic and quadratic functions. They also graph the slope values of the tangent lines for each of the function graphs.

Before the Activity

  • Install the CellSheet on the calculator using the TI Connect™, TI-Connectivity cable, and Unit to Unit cables
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 67 - 72 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to your class.

    Follow the Activity procedures:

  • Use the quadratic equation and for different x-values find the corresponding y- values
  • Determine the slope of the secant line that passes through 2 points
  • Determine the Δx - slope relationship
  • For values of x, use the cubic equation to find the corresponding y-values
  • Determine the slope of the secant line and Δx - slope relationship
  • Compare the Δx - slope pattern for the cubic quadratic function curves
  • After the Activity

    Students will complete the worksheet and answer questions.

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary